[PDF] Nonassociative Algebras In Physics eBook

Author : Susumu Okubo
Publisher : Cambridge University Press
Page : 152 pages
File Size : 28,99 MB
Release : 1995-08-03
Category : Mathematics
ISBN : 0521472156

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In this book, the author aims to familiarize researchers and graduate students in both physics and mathematics with the application of non-associative algebras in physics.Topics covered by the author range from algebras of observables in quantum mechanics, angular momentum and octonions, division algebra, triple-linear products and YangSHBaxter equations. The author also covers non-associative gauge theoretic reformulation of Einstein's general relativity theory and so on. Much of the material found in this book is not available in other standard works.

Author : Lev Sabinin
Publisher : CRC Press
Page : 553 pages
File Size : 48,87 MB
Release : 2006-01-13
Category : Mathematics
ISBN : 1420003453

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With contributions derived from presentations at an international conference, Non-Associative Algebra and Its Applications explores a wide range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications of nonassociative algebra to geometry, physics, and natural sciences.

Author : R Costa
Publisher : CRC Press
Page : 492 pages
File Size : 33,59 MB
Release : 2019-05-20
Category : Mathematics
ISBN : 0429529996

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A collection of lectures presented at the Fourth International Conference on Nonassociative Algebra and its Applications, held in Sao Paulo, Brazil. Topics in algebra theory include alternative, Bernstein, Jordan, lie, and Malcev algebras and superalgebras. The volume presents applications to population genetics theory, physics, and more.

Author : Richard D. Schafer
Publisher : Courier Dover Publications
Page : 177 pages
File Size : 24,35 MB
Release : 2017-11-15
Category : Mathematics
ISBN : 0486164179

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Concise graduate-level introductory study presents some of the important ideas and results in the theory of nonassociative algebras. Places particular emphasis on alternative and (commutative) Jordan algebras. 1966 edition.

Author : Alberto Elduque
Publisher :
Page : 244 pages
File Size : 18,80 MB
Release : 1994-03-31
Category :
ISBN : 9789401582803

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Around 1978, a mutation of associative algebras was introduced to generalize the formalism of classical mechanics as well as quantum mechanics. This volume presents the first book devoted to a self-contained and detailed treatment of the mathematical theory of mutation algebras, which is based on research in this subject over the past fifteen years. The book also deals with a broader class of algebras, mutations of alternative algebras, which are a natural generalization of mutations of associative algebras. A complete structure theory, including automorphisms, derivations and certain representations, is given for mutations of artinian alternative algebras, and, in particular, of Cayley--Dickson algebras. Since the mutation algebras do not form a variety, the structure theory explored in this volume takes quite a different approach from the standard theory of nonassociative algebras and provides an important interplay with the theory of noncommutative (associative) algebras through mutation parameters. New simple algebras and open problems presented in this book will stimulate additional research and applications in the area. This book will be valuable to graduate students, mathematicians and physicists interested in applications of algebras.

Author : Lev V. Sabinin
Publisher :
Page : pages
File Size : 18,3 MB
Release : 2017
Category : Electronic book
ISBN :

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Annotation With international contributors, this text explores a wide range of topics relating to Non-Associative Algebra and focuses on its applications to geometry, physics, and natural sciences.

Author : Feza Grsey
Publisher : World Scientific
Page : 492 pages
File Size : 14,7 MB
Release : 1996
Category : Science
ISBN : 9789810228637

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This monograph surveys the role of some associative and non-associative algebras, remarkable by their ubiquitous appearance in contemporary theoretical physics, particularly in particle physics. It concerns the interplay between division algebras, specifically quaternions and octonions, between Jordan and related algebras on the one hand, and unified theories of the basic interactions on the other. Selected applications of these algebraic structures are discussed: quaternion analyticity of Yang-Mills instantons, octonionic aspects of exceptional broken gauge, supergravity theories, division algebras in anyonic phenomena and in theories of extended objects in critical dimensions. The topics presented deal primarily with original contributions by the authors.

Author : Walter Pfeifer
Publisher : Springer Science & Business Media
Page : 128 pages
File Size : 15,97 MB
Release : 2003-07-23
Category : Mathematics
ISBN : 9783764324186

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Lie algebras are efficient tools for analyzing the properties of physical systems. Concrete applications comprise the formulation of symmetries of Hamiltonian systems, the description of atomic, molecular and nuclear spectra, the physics of elementary particles and many others. This work gives an introduction to the properties and the structure of the Lie algebras su(n). The book features an elementary (matrix) access to su(N)-algebras, and gives a first insight into Lie algebras. Student readers should be enabled to begin studies on physical su(N)-applications, instructors will profit from the detailed calculations and examples.